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15430012416 = 2932713311187
BaseRepresentation
bin11100101111011001…
…10100111000000000
31110211100021211211100
432113230310320000
5223100040344131
611031034414400
71054240640640
oct162754647000
943740254740
1015430012416
1165a8926785
122ba7591400
1315bb968180
14a6539c520
156049557e6
hex397b34e00

15430012416 has 480 divisors, whose sum is σ = 56624375808. Its totient is φ = 3934863360.

The previous prime is 15430012399. The next prime is 15430012453. The reversal of 15430012416 is 61421003451.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 15430012416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12998575 + ... + 12999761.

Almost surely, 215430012416 is an apocalyptic number.

15430012416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15430012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28312187904).

15430012416 is an abundant number, since it is smaller than the sum of its proper divisors (41194363392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15430012416 is a wasteful number, since it uses less digits than its factorization.

15430012416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 15430012416 its reverse (61421003451), we get a palindrome (76851015867).

The spelling of 15430012416 in words is "fifteen billion, four hundred thirty million, twelve thousand, four hundred sixteen".